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Finding the Fourth Proportional to 5,762.08, 8,646.48 and 3,790.15

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Solution

The fourth proportional to 5,762.08, 8,646.48 and 3,790.15 is: 5,687.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.08 : 8,646.48 = 3,790.15 : x
  2. Step 2: Convert to fraction form
    5,762.08/8,646.48 = 3,790.15/x
  3. Step 3: Cross multiply
    5,762.08x = 8,646.48 × 3,790.15
  4. Step 4: Simplify right side
    5,762.08x = 32,771,456.17
  5. Step 5: Solve for x
    x = 32,771,456.17/5,762.08
  6. Step 6: Final answer
    x = 5,687.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.